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Finding the Fourth Proportional to 3,899.34, 5,848.92 and 1,590.84

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Solution

The fourth proportional to 3,899.34, 5,848.92 and 1,590.84 is: 2,386.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.34 : 5,848.92 = 1,590.84 : x
  2. Step 2: Convert to fraction form
    3,899.34/5,848.92 = 1,590.84/x
  3. Step 3: Cross multiply
    3,899.34x = 5,848.92 × 1,590.84
  4. Step 4: Simplify right side
    3,899.34x = 9,304,695.89
  5. Step 5: Solve for x
    x = 9,304,695.89/3,899.34
  6. Step 6: Final answer
    x = 2,386.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.